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8029740060 = 22335109136421
BaseRepresentation
bin1110111101001110…
…00001110000011100
3202201121101001121000
413132213001300130
5112421103140220
63404441110300
7402661443606
oct73647016034
922647331530
108029740060
113450640611
121681188390
139ac7569a4
1456260a176
1531ee22390
hex1de9c1c1c

8029740060 has 96 divisors (see below), whose sum is σ = 25210785600. Its totient is φ = 2121603840.

The previous prime is 8029740031. The next prime is 8029740071. The reversal of 8029740060 is 600479208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8029739997 and 8029740024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9351 + ... + 127070.

It is an arithmetic number, because the mean of its divisors is an integer number (262612350).

Almost surely, 28029740060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8029740060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12605392800).

8029740060 is an abundant number, since it is smaller than the sum of its proper divisors (17181045540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8029740060 is a wasteful number, since it uses less digits than its factorization.

8029740060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136548 (or 136540 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8029740060 is about 89608.8168653063. The cubic root of 8029740060 is about 2002.4752735799.

The spelling of 8029740060 in words is "eight billion, twenty-nine million, seven hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 436 540 545 654 981 1090 1308 1635 1962 2180 2943 3270 3924 4905 5886 6540 9810 11772 14715 19620 29430 58860 136421 272842 409263 545684 682105 818526 1227789 1364210 1637052 2046315 2455578 2728420 3683367 4092630 4911156 6138945 7366734 8185260 12277890 14733468 14869889 18416835 24555780 29739778 36833670 44609667 59479556 73667340 74349445 89219334 133829001 148698890 178438668 223048335 267658002 297397780 401487003 446096670 535316004 669145005 802974006 892193340 1338290010 1605948012 2007435015 2676580020 4014870030 8029740060